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Finding the Third Proportional to 6,800.63 and 12,251.25

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Solution

The third proportional to 6,800.63 and 12,251.25 is: 22,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.63 : 12,251.25 = 12,251.25 : x
  2. Step 2: Convert to fraction form
    6,800.63/12,251.25 = 12,251.25/x
  3. Step 3: Cross multiply
    6,800.63x = 12,251.25 × 12,251.25
  4. Step 4: Simplify right side
    6,800.63x = 150,093,126.56
  5. Step 5: Solve for x
    x = 150,093,126.56/6,800.63
  6. Step 6: Final answer
    x = 22,070.49

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.